On Spherically Symmetric Non-Static Space-Times Admitting Homothetic Motions

Details On Spherically Symmetric Non-Static Space-Times Admitting Homothetic Motions On Spherically Symmetric Non-Static Space-Times Admitting Homothetic Motions

2010-05-12

arxiv.org/abs/1006.5027v1

Il Nuovo Cimento B Vol. 124, pp. 61-67 (2009)

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, no figures

Scientific paper

Spherically symmetric solutions admitting a homothetic Killing vector field
(HKVF) either orthogonal, $\eta_{\bot}$, or parallel,$\eta_{||}$, to the
4-velocity vector field, $u^a$, are studied. New self-similar solution of
Einstein's field equation is found in the case when HKVF is in a general form.
Some physical properties of the obtained solution are examined.

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